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What is the Least Common Multiple of 92034 and 92050?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 92034 and 92050 is 4235864850.

LCM(92034,92050) = 4235864850

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Least Common Multiple of 92034 and 92050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92034 and 92050, than apply into the LCM equation.

GCF(92034,92050) = 2
LCM(92034,92050) = ( 92034 × 92050) / 2
LCM(92034,92050) = 8471729700 / 2
LCM(92034,92050) = 4235864850

Least Common Multiple (LCM) of 92034 and 92050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92034 and 92050. First we will calculate the prime factors of 92034 and 92050.

Prime Factorization of 92034

Prime factors of 92034 are 2, 3, 5113. Prime factorization of 92034 in exponential form is:

92034 = 21 × 32 × 51131

Prime Factorization of 92050

Prime factors of 92050 are 2, 5, 7, 263. Prime factorization of 92050 in exponential form is:

92050 = 21 × 52 × 71 × 2631

Now multiplying the highest exponent prime factors to calculate the LCM of 92034 and 92050.

LCM(92034,92050) = 21 × 32 × 51131 × 52 × 71 × 2631
LCM(92034,92050) = 4235864850